What is the set A = {x : x is a natural number and x² = 4}?
Answer and explanation
Correct answer: A = {2}
To determine the set, first solve the equation x² = 4. Its integer solutions are x = 2 and x = −2. However, the condition also says that x must be a natural number. Since −2 is not a natural number, it must be excluded. Therefore, the only permissible element is 2, so A = {2}. This is a finite set containing exactly one element.
Frequently asked questions
What is the correct answer to this question?
A = {2}
Why is this the correct answer?
To determine the set, first solve the equation x² = 4. Its integer solutions are x = 2 and x = −2. However, the condition also says that x must be a natural number. Since −2 is not a natural number, it must be excluded. Therefore, the only permissible element is 2, so A = {2}. This is a finite set containing exactly one element.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: The Empty Set, Finite and Infinite Sets, Equal Sets.
